Instant Mathematics by Parsons, Paul -- Read -- Imperial Library of Trantor

Index

Cover Title Page Introduction Ancient

1. Counting 2. Arithmetic 3. Magic Squares 4. Fractions 5. Triangles 6. Thales of Miletus 7. Cryptography 8. Exponentiation 9. Area and Volume 10. Pythagoras 11. Pythagoran Theorem 12. Irrational Numbers 13. Hypatia 14. Polyhedra 15. Perfect Numbers 16. Prime Numbers 17. Mathematical Proof 18. Euclid 19. Euclidean Geometry 20. Algorithms 21. Pi 22. Archimedes 23. Eratosthenes of Cyrene 24. Conic Sections 25. Combinatorics 26. Binary Numbers

Roman to Middle Ages

27. Algebra 28. Trigonometry 29. Zero 30. Ptolemy 31. Diophantus 32. Diophantine Equations 33. Tessellations 34. Boethius 35. Aryabhata 36. Brahmagupta 37. Muhammad ibn Musa al-Khwarizmi 38. Matrices 39. Omar Khayyam 40. Fibonacci

Early Modern

41. Quartic Equations 42. Gerolamo Cardano 43. Imaginary Numbers 44. Kepler’s Conjecture 45. John Napier 46. Logarithms 47. Euler’s Number 48. René Descartes 49. Cartesian Coordinates 50. Pierre de Fermat 51. Fermat’s Last Theorem 52. Blaise Pascal 53. Pascal’s Triangle 54. Probability 55. Infinity 56. Calculus 57. Gottfried Wilhelm Leibniz 58. Isaac Newton 59. Numerical Analysis 60. Mechanics 61. Polar Coordinates 62. Abraham de Moivre 63. Infinite Series 64. Graph Theory 65. Gambling 66. Leonhard Euler 67. Topology 68. The Bernoulli Family 69. Probability Distributions 70. Bayes’s Theorem 71. Knot Theory 72. Latin Squares 73. Joseph Louis Lagrange 74. Adrien-Marie Legendre 75. Pierre-Simon Laplace

Nineteenth Century

76. Sophie Germain 77. Joseph Fourier 78. Fourier Analysis 79. Modular Arithmetic 80. Correlation And Regression 81. The Normal Distribution 82. The Golden Mean 83. Carl Friedrich Gauss 84. Computing 85. Augustin-Louis Cauchy 86. Non-Euclidean Geometry 87. Group Theory 88. Differential Geometry 89. Charles Babbage 90. Peter Gustav Lejeune Dirichlet 91. Ada Lovelace 92. William Rowan Hamilton 93. Quaternions 94. Catalan’s Conjecture 95. Transcendental Numbers 96. Georg Friedrich Bernhard Riemann 97. Niels Henrik Abel 98. The Four-Color Theorem 99. Boolean Logic 100. The Riemann Hypothesis 101. Florence Nightingale 102. Sofia Kovalevskaya 103. Abstract Algebra 104. Georg Cantor 105. Set Theory 106. Henri Poincaré 107. Hermann Minkowski 108. Tensors

Twentieth Century and Beyond

109. Poincaré Conjecture 110. Discrete Geometry 111. David Hilbert 112. The Pareto Principle 113. Markov Processes 114. Srinivasa Ramanujan 115. G.H. Hardy 116. Emmy Noether 117. Fractals 118. Ronald Fisher 119. P-Values 120. Modern Statistical Inference 121. Game Theory 122. Traveling Salesman Problem 123. Ramsey Theory 124. John von Neumann 125. Gödel’s Incompleteness Theorem 126. Alan Turing 127. Benford’s Law 128. Optimization 129. Kurt Gödel 130. Artificial Neural Networks 131. Information Theory 132. Arrow’s Impossibility Theorem 133. Joan Clarke 134. Extreme Value Theory 135. Olga Ladyzhenskaya 136. Small World Networks 137. Cellular Automata 138. Nontransitive Dice 139. Katherine Johnson 140. Benoit Mandelbrot 141. P vs NP 142. Chaos Theory 143. Public-Key Cryptography 144. Quantitative Finance 145. Roger Penrose 146. Wallpaper Groups 147. John Nash 148. Edward Thorp 149. Michael Atiyah 150. Paul Erdös 151. Stephen Wolfram 152. Grigori Yakovlevich Perelman 153. Quantum Algorithms 154. Andrew Wiles 155. Sports Analytics 156. Maryam Mirzakhani 157. Terence Tao 158. Karen Uhlenbeck 159. Data Science 160. Goldbach Conjecture

About the Author Glossary Further Reading Copyright

Chief Librarian: Las Zenow <zenow@riseup.net>
Fork the source code from gitlab.